Effective Properties of Nonlinear Composites
These lectures describe several procedures commonly used or recently developed to predict the overall behavior of nonlinear composites from the behavior of their individual constituents and from statistical information about their microstructure. Secant m
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Series Editors: The Rectors of CISM Sandor Kaliszky - Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM Giovanni Bianchi - Milan Executive Editor Carlo Tasso- Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No . 377
CONTINUUM MICROMECHANICS
EDITED BY
P. SUQUET LABORATOIRE DE MECANIQUE ET D'ACOUSTIQUE
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Springer-Verlag Wien GmbH
Le spese di stam pa di questo volume sono in parte coperte da contributi del Consiglio Nazionale delle Ricerche.
This volume contains 73 illustrations
This work is subject to copyright.
AII rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine Of
similar means, and storage in data banks.
© 1997 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 1997
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical Iimitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-82902-8 DOI 10.1007/978-3-7091-2662-2
ISBN 978-3-7091-2662-2 (eBook)
PREFACE
The rapid growth of new materials, as well as the need for a deeper understanding of classical materials, has put in evidence the importance of small-scale mechanisms governing the overall behavior of materials. At the same time that Continuum Mechanics reaches its limits of flexibility at the macro level where introduction of internal variables is required to account for microstructural effects, it finds new applications at the micro level where these internal variables have a clear physical meaning. This application of Continuwn Mechanics at the microlevel is called Continuum Micromechanics as illustrated in the celebrated article of Hill which was published in 1965 and entitled "Continuwn micro-mechanics of elastoplastic polycrystals ". This topic and closely related ones have received considerable attention in the last forty years from different groups of mechanicians and applied mathematicians. Although their initial motivations were different and covered various areas such as the deformation of polycrystalline aggregates, the effective behavior of composite materials and mathematical asymptotic methods to give rigorous foundations to Micromechanics, it soon became clear that all these different approaches could benefit from closer interactions. The present course was organized with the aim of presenting to advanced students, researchers and research engineers working at the f
